| Abstract: |
| In this talk we will discuss the well-posedness (existence and uniqueness) of entropy solutions to the anisotropic degenerate parabolic-hyperbolic equations with $L^{\infty}$ initial data and nonhomogeneous Dirichlet boundary condition. We will also consider the homogeneous Dirichlet boundary problem for weakly coupled degenerate parabolic-hyperbolic system. We will use doubling variables device and regularization method to prove the uniqueness and existence result, respectively. |
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